If You are interested in PEM measurement than I think that “objective” measurement could be done using repeated CPET protocol or handgrip test. Respiratory exchange ratio during physical exercise is the only “objective” indicator of fatigue that I am aware.
Considering scales I would omit using Chalder Fatigue Questionnaire because of some of methodological problems in a longitudinal setting with this questionnaire [Wilshire, C.E.; McPhee, G.; Science for MECFQ. Submission to the public review on common data elements for ME/CFS: Problems with the Chalder Fatigue Questionnaire. Science for ME.].